Towards a phase diagram of the topologically frustrated XY chain
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910790633652224 |
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| author | Shaikh, Daniel Sacco Catalano, Alberto Giuseppe Cavaliere, Fabio Franchini, Fabio Sassetti, Maura Ziani, Niccolò Traverso |
| author_facet | Shaikh, Daniel Sacco Catalano, Alberto Giuseppe Cavaliere, Fabio Franchini, Fabio Sassetti, Maura Ziani, Niccolò Traverso |
| contents | Landau theory's implicit assumption that microscopic details cannot affect the system's phases has been challenged only recently in systems such as antiferromagnetic quantum spin chains with periodic boundary conditions, where topological frustration can be induced. In this work, we show that the latter modifies the zero temperature phase diagram of the XY chain in a transverse magnetic field by inducing new quantum phase transitions. In doing so, we come across the first case of second order boundary quantum phase transition characterized by a quartic dispersion relation. Our analytical results are supported by numerical investigations and lay the foundation for understanding the phase diagram of this frustrated model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_06291 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Towards a phase diagram of the topologically frustrated XY chain Shaikh, Daniel Sacco Catalano, Alberto Giuseppe Cavaliere, Fabio Franchini, Fabio Sassetti, Maura Ziani, Niccolò Traverso Statistical Mechanics Strongly Correlated Electrons Quantum Physics Landau theory's implicit assumption that microscopic details cannot affect the system's phases has been challenged only recently in systems such as antiferromagnetic quantum spin chains with periodic boundary conditions, where topological frustration can be induced. In this work, we show that the latter modifies the zero temperature phase diagram of the XY chain in a transverse magnetic field by inducing new quantum phase transitions. In doing so, we come across the first case of second order boundary quantum phase transition characterized by a quartic dispersion relation. Our analytical results are supported by numerical investigations and lay the foundation for understanding the phase diagram of this frustrated model. |
| title | Towards a phase diagram of the topologically frustrated XY chain |
| topic | Statistical Mechanics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2312.06291 |